On the $L_p$ norm of the Rademacher projection and related inequalities

DOI10.1090/S0002-9939-09-09875-XzbMath1173.41017MaRDI QIDQ5322861

Lesław Skrzypek

Publication date: 23 July 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

minimal projectionRademacher projection, best approximation

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Best constants in approximation theory (41A44)

Related Items (3)

Minimal Versus Orthogonal Projections onto Hyperplanes in $$\ell _1^{n}$$ ℓ 1 n and $$\ell _{\infty }^{n}$$ ℓ ∞ n ⋮ Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces ⋮ Minimal projections onto hyperplanes in \(\ell_p^n\)

Cites Work

• On the non-uniqueness of minimal projections in and discrete Walsh projections
• Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
• Minimal projections on hyperplanes in sequence spaces
• Estimation of moments of sums of independent real random variables
• An integral identity for the Rademacher functions
• Chalmers-Metcalf operator and uniqueness of minimal projections
• Norming points and unique minimality of orthogonal projections
• Minimal numerical-radius extensions of operators
• Generalized Clarkson's Inequalities and the Norms of the Littlewood Matrices
• Computing norms and critical exponents of some operators in $L^{p}$-spaces
• On the Best Possible Constants in the Khintchine Inequality for P ⩾ 3
• The best constants in the Khintchine inequality
• The Determination of Minimal Projections and Extensions in L 1
• On CLARKSON's Inequalities and Interpolation
• On the existence and characterization of minimal projections.
• On the Minimal Property of the Fourier Projection
• Projection Constants and Spaces of Continuous Functions
• Uniformly Convex Spaces
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